# Floor it!

Number Theory Level 2

How many positive integers are there such that $$\lfloor \sqrt{x} \rfloor = 10$$?

Details and assumptions

The function $$\lfloor x \rfloor: \mathbb{R} \rightarrow \mathbb{Z}$$ refers to the greatest integer smaller than or equal to $$x$$. For example $$\lfloor 2.3 \rfloor = 2$$ and $$\lfloor -5 \rfloor = -5$$.

×